121601934720 has 1024 divisors, whose sum is σ = 519602688000. Its totient is φ = 26276659200.

The previous prime is 121601934709. The next prime is 121601934781. The reversal of 121601934720 is 27439106121.

121601934720 is a `hidden beast` number, since 1 + 2 + 1 + 601 + 9 + 3 + 47 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 303246520 + ... + 303246920.

It is an arithmetic number, because the mean of its divisors is an integer number (507424500).

Almost surely, 2^121601934720 is an apocalyptic number.

121601934720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121601934720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259801344000).

121601934720 is an abundant number, since it is smaller than the sum of its proper divisors (398000753280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121601934720 is a wasteful number, since it uses less digits than its factorization.

121601934720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 121601934720 in words is "one hundred twenty-one billion, six hundred one million, nine hundred thirty-four thousand, seven hundred twenty".